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Finding the Fourth Proportional to 271,808.72, 375,083.34 and 150,957.80

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Solution

The fourth proportional to 271,808.72, 375,083.34 and 150,957.80 is: 208,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,808.72 : 375,083.34 = 150,957.80 : x
  2. Step 2: Convert to fraction form
    271,808.72/375,083.34 = 150,957.80/x
  3. Step 3: Cross multiply
    271,808.72x = 375,083.34 × 150,957.80
  4. Step 4: Simplify right side
    271,808.72x = 56,621,755,823.05
  5. Step 5: Solve for x
    x = 56,621,755,823.05/271,808.72
  6. Step 6: Final answer
    x = 208,314.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.